A method for washing laundry and a washing machine, in which balancing of the laundry load is effectively carried out. The method for washing includes supplying wash water mixed with a detergent, spinning or rinsing the laundry by rotating the washing machine drum in which the laundry is located, thereby causing the laundry to be repeatedly lifted within and then fall towards the bottom of the drum. The method further involves balancing the laundry by repeatedly accelerating and decelerating the drum. The wash water is then drained.